Question

Construct a quadrilateral ABCD, when:
∠ A = 90^o, AB = 4.6 cm, BD = 6.4 cm, AC = 6.0 cm and CD = 4.2 cm.

Answer 1

Steps:
1. Draw AB = 4.6 cm.
2. Through A, draw AP such that Angle A = 90°.
3. With B as a center and radii 6.4 cm draw an arc at D on AP.
4. With D and A as a center and radii, 4.2 cm and 6 cm draw an arc cutting each other at C.
5. Now join BD, AC, and CB.

ABCD is the required quadrilateral.